Authors: Pablo Galaviz, Bernd Bruegmann
Date: 20 Dec 2010
Abstract: We study the gravitational wave emission of three compact objects using post-Newtonian (PN) equations of motion derived from the ADM-Hamiltonian formulation, where we include (for the first time in this context) terms up to 2.5 PN order. We perform numerical simulations of a hierarchical configuration of three compact bodies in which a binary system is perturbed by a third, lighter body. The relative importance of the different PN orders is examined. We compute the waveform in the linear regime considering mass quadrupole, current quadrupole and mass octupole contributions. Performing a spherical harmonic decomposition of the waveforms we find that from the $l=3$ modes it is possible to extract information about the third body, in particular the period, eccentricity of its orbit, and the inclination angle between the inner and outer binary orbits.
© M. Vallisneri 2012 — last modified on 2010/01/29
Tantum in modicis, quantum in maximis